Q2/ Suppose you have crude oil flows through an annulus between two horizontal pipes with the same center, if the velocity distribution vx and the average velocity Vavg are expressed by: ΔΡ V₁ = Rr²+ R₁² In (R₂/R₁) ()] In 4μL R₂ ΔΡ R³-R² Vavg R} + R² - 8μL In (R₂/R₁) Where AP: is the pressure drop through the annulus, μ: is the fluid viscosity, L: is the pipe length, R₁ and R₂: are the inside radius of inner and outer pipes, respectively. Write a program in a script file that calculates the velocity distribution and the average velocity. When the script file is executed, it requests the user to input AP, µ, L, R₁ and R₂ where r has many values between R₁ and R₂. The program displays the inputted values and the calculated average velocity (using fprintf) followed by a table with the values r in the first column and the corresponding values of the velocity distribution in the second column. = -

Q2/ Suppose you have crude oil flows through an annulus between two horizontal pipes with the same center, if the velocity distribution vx and the average velocity Vavg are expressed by: ΔΡ V₁ = Rr²+ R₁² In (R₂/R₁) ()] In 4μL R₂ ΔΡ R³-R² Vavg R} + R² - 8μL In (R₂/R₁) Where AP: is the pressure drop through the annulus, μ: is the fluid viscosity, L: is the pipe length, R₁ and R₂: are the inside radius of inner and outer pipes, respectively. Write a program in a script file that calculates the velocity distribution and the average velocity. When the script file is executed, it requests the user to input AP, µ, L, R₁ and R₂ where r has many values between R₁ and R₂. The program displays the inputted values and the calculated average velocity (using fprintf) followed by a table with the values r in the first column and the corresponding values of the velocity distribution in the second column. = -

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A2 A Newtonian fluid with viscosity (Mu) flows upward at a steady rate between two parallel plates that make an angle y with the horizontal. The fluid thickness h is much smaller than the width of the channel W. The pressures at each end, P(0) and P(L), are known and the pressure variations in the y-direction are small. Assume that Vy and Vz = 0 and Vx is a function of y alone. Use the shell balance to approach : - the Total flowrate, QV
Velocity components in the flow of an ideal fluid in a horizontal plane; Given as u = 16 y - 12 x , v = 12 y - 9 x a) Is the current continuous?(YES OR NO) b) Can the potential function be defined?(YES OR NO) c) Find the unit width flow passing between the origin and the point A(2,4). (y(0,0)=0) d) Calculate the pressure difference between the origin and the point B(3;3).
A bicycle tire is fi lled with air at an absolute pressure of169.12 kPa, and the temperature inside is 30.0 °C. Supposethe valve breaks, and the air starts to exhaust out of the tireinto the atmosphere (pa = 100 kPa absolute and Ta =20.0 °C). The valve exit is 2.00 mm in diameter and is thesmallest cross-sectional area of the entire system. Frictionallosses can be ignored here; one-dimensional isentropicflow is a reasonable assumption. (a) Find the Machnumber, velocity, and temperature at the exit plane of thevalve (initially). (b) Find the initial mass flow rate out ofthe tire. (c) Estimate the velocity at the exit plane using theincompressible Bernoulli equation. How well does thisestimate agree with the “exact” answer of part (a)? Explain.
1) When an incompressible fluid flows through a restricted (narrower) portion of a pipe, mass flow is preserved, so it: sloshes back and forth. must speed up. remains at constant speed slows down. creates a shock wave. 2) When an incompressible fluid moves from a wider pipe into a narrower one, it speeds up. This means that the wider portion must do work on the fluid (to accelerate it), and therefor the pressure there... goes to zero. is lower than in the narrow portion. is higher than in the narrow portion. is the same as in the narrow portion. cannot be calculated. 3) Normally, when the temperature of a solid, liquid, or gas increases, it expands, i.e., its volume V increases (and its mass density: ρ = m /V decreases). Because of its relatively strong hydrogen bonds, water ice forms an orderly, hexagonal lattice structure that requires the molecules to be about 9% further apart than when in the liquid phase, which…
When a viscous, incompressible fluid enters a pipe of radius, R, its velocity is uniform and of magnitude U0. The fluid eventually becomes fully-developed, at which point it has a parabolic velocity profile described by the equation u(r) = Umax[ 1 − ( r/R )^2 ] , where r is the radial distance measured from the center line of the pipe. Determine an expression for the ratio of the max velocity of the fully-developed pipe flow to the uniform inlet velocity, Umax/U0. The fluid is flowing steadily
Figure 1) shows a tank of 20∘C water with a nozzle h = 27 cm below the surface. Bernoulli's equation applies to the flow between points 1 and 2 on the streamline, but not to the flow between points 2 and 3.What is the volume flow rate through the nozzle in L/min ? Assume that the water level in the tank is held constant.
Consider a 2-dimensional incompressible flow field. The vertical component of velocity forthe flow field is given by 2y. The pressure at (x, y) = 0,0 is given by 3 bar absolute. The densityof the fluid is 1.2 Kg/m3 . Find. a) x-component of velocity; b) acceleration at point (x, y) = 2,1;c) pressure gradient at the same point; d) pressure gradient along the x-axis; e) check whetherthe flow is irrotational; f) find the potential function; g) find the stream function; h) equationfor streamline and sketch few streamlines.
If a stream flowing at velocity U past a body of lengthL causes a force F on the body that depends only on U , L ,and fluid viscosity μ , then F must be proportional to(a) ρUL/μ, (b) ρU2L2, (c) μU/L, (d) μUL, (e) UL/μ
Carbon dioxide flows in a horizontal 100 mm wrought iron pipeline at a velocity of 3 m/s.At a point in the line a pressure gage reads 690 kPa and the temperature is 40°C. What pressureis lost as the result of friction in 30 m of this pipe? Barometric pressure is 101.3 kPa. Assumethe fluid is of constant density
Find the kinematic viscosity of an oil having density of 980kg/m^2 when at a certain point in the oil, the shear stress is 0.25 Pa and the velocity gradient is 0.3 m/s.
Q2: The linear-scale ratio 1:30 of open-channel model, the velocity and flow rate are 1.5 m / s and 2 m / s. Determine the corresponding velocity and flow rate in the prototype.
What is the volume flow rate for water (viscosity= .0010 Pa×s) through a length of pipe L= 0.60m and pipe radius r= 1.03cm if the pressure difference across this length of pipe is 5.2 kPa? Note that 1 kPa= 1000 Pa. What would the volume flow rate be if the same pipe had a radius that is reduced by 21% (i.e. the radius is 79% of its previous value)? Let's call this flow rate Q1. What is the ratio of Q1 to the original flow rate Q? Express this as a decimal number.